The pattern is multiplying by 2. 20 * 2 = 40.

'Their' is often used informally, but traditionally 'his or her' is preferred. The correct sentence is 'Everyone should do his or her best.'

The correct form is 'The committee has made its decision.' 'Committee' is a collective noun and takes a singular verb.

'are' should be 'is' because 'team' is a collective noun treated as singular.

The mode is 4, as it appears 3 times, which is more than any other number.

The number 10 appears 3 times and 15 appears 3 times. Since both have the highest frequency, the mode is 10 and 15 (bimodal). However, if only one mode is required, we can take the first one, which is 10.

The mode is 10, as it appears most frequently (three times) in the data set.

The mode is 30, as it appears 3 times, more than any other number.

The mode is 15, which appears 3 times in the data set.

The number 15 appears most frequently (three times), making it the mode.

The mode is 4, as it appears four times, which is more than any other number.

The mode is 10, as it appears 3 times, which is more than any other number.

The number 10 appears 3 times and 15 appears 3 times. Both are modes, but since we need to choose one, we can say the mode is 10.

The mode is 10, which appears 3 times, more than any other number.

The pattern is n(n+1) where n = 1, 2, 3, 4. Next is 5(5+1) = 30.

'Fish' is the only one that lives in water, while the others are land animals.

Water is a liquid, while the others are metals.

All numbers except 9 are prime numbers.

Car is an inanimate object; the others are animals.

Sunday is a day of the week; the others are months.

Integrating gives y = x^2 + C. Using the initial condition y(0) = 1, we find C = 1.

The general solution is y = Ce^(2x). Using the initial condition y(0) = 1 gives C = 1, so y = e^(2x).

The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).

The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).

The general solution is y = e^x + C. Using the initial condition y(0) = 1, we find C = 1.

f''(x) = 6x - 12. Setting f''(x) = 0 gives x = 2. f(2) = 3.

f''(x) = 6x - 12. Setting f''(x) = 0 gives x = 2. The point of inflection is (2, f(2)) = (2, 3).

f''(x) = 12x^2 - 24x. Setting f''(x) = 0 gives x(x - 2) = 0, so x = 0 or x = 2. The point of inflection is at (2, f(2)) = (2, 2).

Solving the equations simultaneously, we find the intersection point is (1, 1).

Solving the equations simultaneously, we find the intersection point is (3, 4).